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Rationalizing Tool Selection in a Flexible Manufacturing System for Sheet-Metal Products

Author

Listed:
  • Mark Daskin

    (Northwestern University, Evanston, Illinois)

  • Philip C. Jones

    (Northwestern University, Evanston, Illinois)

  • Timothy J. Lowe

    (University of Iowa, Iowa City, Iowa)

Abstract

Substantial simplification of existing processes and designs may be required before the potential benefits of modern manufacturing technology can be realized. This paper analyzes implementation problems associated with a flexible system that produces flat sheet-metal parts with interior holes. The paper makes three main contributions. First, we formulate the problem of selecting tooling and design standards as an optimization model and demonstrate that the model yields insight by applying it to one manufacturer's problem, thereby reducing substantially the required tooling. Second, we show that the model has a totally balanced constraint matrix, and hence, there are polynomial time algorithms for various versions of the problem. Third, we provide new algorithms with substantially improved performance bounds for two important versions of the problem.

Suggested Citation

  • Mark Daskin & Philip C. Jones & Timothy J. Lowe, 1990. "Rationalizing Tool Selection in a Flexible Manufacturing System for Sheet-Metal Products," Operations Research, INFORMS, vol. 38(6), pages 1104-1115, December.
    • Handle: RePEc:inm:oropre:v:38:y:1990:i:6:p:1104-1115
    DOI: 10.1287/opre.38.6.1104
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    Cited by:

    1. Galvao, Roberto D. & Gonzalo Acosta Espejo, Luis & Boffey, Brian, 2000. "A comparison of Lagrangean and surrogate relaxations for the maximal covering location problem," European Journal of Operational Research, Elsevier, vol. 124(2), pages 377-389, July.
    2. Brian T. Downs & Jeffrey D. Camm, 1996. "An exact algorithm for the maximal covering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(3), pages 435-461, April.
    3. Alan T. Murray, 2016. "Maximal Coverage Location Problem," International Regional Science Review, , vol. 39(1), pages 5-27, January.
    4. Barbas, Javier & Marin, Angel, 2004. "Maximal covering code multiplexing access telecommunication networks," European Journal of Operational Research, Elsevier, vol. 159(1), pages 219-238, November.
    5. Baray, Jérôme & Cliquet, Gérard, 2013. "Optimizing locations through a maximum covering/p-median hierarchical model: Maternity hospitals in France," Journal of Business Research, Elsevier, vol. 66(1), pages 127-132.
    6. James J. Cochran & Martin S. Levy & Jeffrey D. Camm, 2010. "Bayesian coverage optimization models," Journal of Combinatorial Optimization, Springer, vol. 19(2), pages 158-173, February.

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